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Finding the Fourth Proportional to 12,424.28, 17,147.94 and 7,122.64

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Solution

The fourth proportional to 12,424.28, 17,147.94 and 7,122.64 is: 9,830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.28 : 17,147.94 = 7,122.64 : x
  2. Step 2: Convert to fraction form
    12,424.28/17,147.94 = 7,122.64/x
  3. Step 3: Cross multiply
    12,424.28x = 17,147.94 × 7,122.64
  4. Step 4: Simplify right side
    12,424.28x = 122,138,603.36
  5. Step 5: Solve for x
    x = 122,138,603.36/12,424.28
  6. Step 6: Final answer
    x = 9,830.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.